%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB058+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:29:46 AM UTC 2025
% Result : Theorem 0.48s 0.70s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB058+1 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 07:58:50 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.48/0.70 % SZS status Theorem
% 0.48/0.70 % SZS output start Proof
% 0.48/0.70 tff(uri_ex_y_type, type, (
% 0.48/0.70 uri_ex_y: $i)).
% 0.48/0.70 tff(uri_ex_x_type, type, (
% 0.48/0.70 uri_ex_x: $i)).
% 0.48/0.70 tff(tptp_fun_X_66_type, type, (
% 0.48/0.70 tptp_fun_X_66: ( $i * $i ) > $i)).
% 0.48/0.70 tff(uri_ex_c1_type, type, (
% 0.48/0.70 uri_ex_c1: $i)).
% 0.48/0.70 tff(uri_ex_c2_type, type, (
% 0.48/0.70 uri_ex_c2: $i)).
% 0.48/0.70 tff(icext_type, type, (
% 0.48/0.70 icext: ( $i * $i ) > $o)).
% 0.48/0.70 tff(ic_type, type, (
% 0.48/0.70 ic: $i > $o)).
% 0.48/0.70 tff(iext_type, type, (
% 0.48/0.70 iext: ( $i * $i * $i ) > $o)).
% 0.48/0.70 tff(tptp_fun_X0_140_type, type, (
% 0.48/0.70 tptp_fun_X0_140: $i)).
% 0.48/0.70 tff(uri_owl_oneOf_type, type, (
% 0.48/0.70 uri_owl_oneOf: $i)).
% 0.48/0.70 tff(tptp_fun_X_8_type, type, (
% 0.48/0.70 tptp_fun_X_8: ( $i * $i ) > $i)).
% 0.48/0.70 tff(uri_rdf_nil_type, type, (
% 0.48/0.70 uri_rdf_nil: $i)).
% 0.48/0.70 tff(uri_rdf_rest_type, type, (
% 0.48/0.70 uri_rdf_rest: $i)).
% 0.48/0.70 tff(uri_rdf_first_type, type, (
% 0.48/0.70 uri_rdf_first: $i)).
% 0.48/0.70 tff(tptp_fun_X1_141_type, type, (
% 0.48/0.70 tptp_fun_X1_141: $i)).
% 0.48/0.70 tff(uri_owl_differentFrom_type, type, (
% 0.48/0.70 uri_owl_differentFrom: $i)).
% 0.48/0.70 tff(uri_owl_disjointWith_type, type, (
% 0.48/0.70 uri_owl_disjointWith: $i)).
% 0.48/0.70 tff(uri_rdf_List_type, type, (
% 0.48/0.70 uri_rdf_List: $i)).
% 0.48/0.70 tff(1,plain,
% 0.48/0.70 (?[X1: $i, X0: $i] : (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> ?[X1: $i, X0: $i] : (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y) & iext(uri_rdf_rest, X0, uri_rdf_nil))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(2,plain,
% 0.48/0.70 (^[X1: $i, X0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil))), ((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) <=> ((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)))), rewrite(((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y))), ((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)))), (((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) <=> ((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)))), rewrite(((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1))), (((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1)))), ((((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)) <=> ((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)))), rewrite(((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y))), ((((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y)))), (((((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> ((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y)) & iext(uri_rdf_rest, X0, uri_rdf_nil)))), rewrite(((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y) & iext(uri_rdf_rest, X0, uri_rdf_nil))), (((((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y) & iext(uri_rdf_rest, X0, uri_rdf_nil))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(3,plain,
% 0.48/0.70 (?[X1: $i, X0: $i] : ((((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> ?[X1: $i, X0: $i] : (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y) & iext(uri_rdf_rest, X0, uri_rdf_nil))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[2])).
% 0.48/0.70 tff(4,axiom,(?[X1: $i, X0: $i] : ((((((iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_owl_oneOf, uri_ex_c1, X1)) & iext(uri_rdf_first, X0, uri_ex_y)) & iext(uri_rdf_rest, X0, uri_rdf_nil))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_rdfbased_sem_eqdis_disclass_ext')).
% 0.48/0.70 tff(5,plain,
% 0.48/0.70 (?[X1: $i, X0: $i] : (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y) & iext(uri_rdf_rest, X0, uri_rdf_nil))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.48/0.70 tff(6,plain,
% 0.48/0.70 (?[X1: $i, X0: $i] : (iext(uri_owl_oneOf, uri_ex_c2, X0) & iext(uri_rdf_first, X1, uri_ex_x) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1) & iext(uri_rdf_first, X0, uri_ex_y) & iext(uri_rdf_rest, X0, uri_rdf_nil))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.48/0.70 tff(7,plain,(
% 0.48/0.70 iext(uri_owl_oneOf, uri_ex_c2, X0!140) & iext(uri_rdf_first, X1!141, uri_ex_x) & iext(uri_rdf_rest, X1!141, uri_rdf_nil) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_owl_oneOf, uri_ex_c1, X1!141) & iext(uri_rdf_first, X0!140, uri_ex_y) & iext(uri_rdf_rest, X0!140, uri_rdf_nil)),
% 0.48/0.70 inference(skolemize,[status(sab)],[6])).
% 0.48/0.70 tff(8,plain,
% 0.48/0.70 (iext(uri_rdf_rest, X0!140, uri_rdf_nil)),
% 0.48/0.70 inference(and_elim,[status(thm)],[7])).
% 0.48/0.70 tff(9,plain,
% 0.48/0.70 (iext(uri_rdf_first, X0!140, uri_ex_y)),
% 0.48/0.70 inference(and_elim,[status(thm)],[7])).
% 0.48/0.70 tff(10,plain,
% 0.48/0.70 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))))))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(11,plain,
% 0.48/0.70 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[10])).
% 0.48/0.70 tff(12,plain,
% 0.48/0.70 (^[Z: $i, S1: $i, A1: $i] : refl(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(13,plain,
% 0.48/0.70 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[12])).
% 0.48/0.70 tff(14,plain,
% 0.48/0.70 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(15,plain,
% 0.48/0.70 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[14])).
% 0.48/0.70 tff(16,plain,
% 0.48/0.70 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.48/0.70 inference(transitivity,[status(thm)],[15, 13])).
% 0.48/0.70 tff(17,plain,
% 0.48/0.70 (^[Z: $i, S1: $i, A1: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) <=> (~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> (~(~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))))), rewrite((~(~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)))), ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), trans(monotonicity(rewrite(((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) <=> ((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))), trans(monotonicity(rewrite((~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))) <=> (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))), ((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))), rewrite((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))), ((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))), ((((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))), rewrite((((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))), ((((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> (((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))), rewrite((((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(18,plain,
% 0.48/0.70 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[17])).
% 0.48/0.70 tff(19,plain,
% 0.48/0.70 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(20,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[19])).
% 0.48/0.71 tff(21,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(22,plain,
% 0.48/0.71 (^[Z: $i, S1: $i, A1: $i] : trans(monotonicity(monotonicity(rewrite((ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))), ((iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), (((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))))), rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), (((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(23,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[22])).
% 0.48/0.71 tff(24,axiom,(![Z: $i, S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_enum_class_001')).
% 0.48/0.71 tff(25,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.48/0.71 tff(26,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.48/0.71 tff(27,plain,(
% 0.48/0.71 ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))),
% 0.48/0.71 inference(skolemize,[status(sab)],[26])).
% 0.48/0.71 tff(28,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.48/0.71 tff(29,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.48/0.71 tff(30,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[29, 16])).
% 0.48/0.71 tff(31,plain,
% 0.48/0.71 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[30, 11])).
% 0.48/0.71 tff(32,plain,
% 0.48/0.71 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X0!140, uri_ex_y)) | (~iext(uri_rdf_rest, X0!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c2, X0!140) | (~ic(uri_ex_c2)) | (~(icext(uri_ex_c2, tptp_fun_X_8(uri_ex_y, uri_ex_c2)) <=> (tptp_fun_X_8(uri_ex_y, uri_ex_c2) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X0!140, uri_ex_y)) | (~iext(uri_rdf_rest, X0!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c2, X0!140) | (~ic(uri_ex_c2)) | (~(icext(uri_ex_c2, tptp_fun_X_8(uri_ex_y, uri_ex_c2)) <=> (tptp_fun_X_8(uri_ex_y, uri_ex_c2) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))))))))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(33,plain,
% 0.48/0.71 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X0!140, uri_ex_y)) | (~iext(uri_rdf_rest, X0!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c2, X0!140) | (~ic(uri_ex_c2)) | (~(icext(uri_ex_c2, tptp_fun_X_8(uri_ex_y, uri_ex_c2)) <=> (tptp_fun_X_8(uri_ex_y, uri_ex_c2) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))))))))),
% 0.48/0.71 inference(quant_inst,[status(thm)],[])).
% 0.48/0.71 tff(34,plain,
% 0.48/0.71 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X0!140, uri_ex_y)) | (~iext(uri_rdf_rest, X0!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c2, X0!140) | (~ic(uri_ex_c2)) | (~(icext(uri_ex_c2, tptp_fun_X_8(uri_ex_y, uri_ex_c2)) <=> (tptp_fun_X_8(uri_ex_y, uri_ex_c2) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y)))))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.48/0.71 tff(35,plain,
% 0.48/0.71 (~((~(iext(uri_owl_oneOf, uri_ex_c2, X0!140) | (~ic(uri_ex_c2)) | (~(icext(uri_ex_c2, tptp_fun_X_8(uri_ex_y, uri_ex_c2)) <=> (tptp_fun_X_8(uri_ex_y, uri_ex_c2) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))))))),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 0.48/0.71 tff(36,plain,
% 0.48/0.71 (((~(iext(uri_owl_oneOf, uri_ex_c2, X0!140) | (~ic(uri_ex_c2)) | (~(icext(uri_ex_c2, tptp_fun_X_8(uri_ex_y, uri_ex_c2)) <=> (tptp_fun_X_8(uri_ex_y, uri_ex_c2) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y)))))))) | ((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))))),
% 0.48/0.71 inference(tautology,[status(thm)],[])).
% 0.48/0.71 tff(37,plain,
% 0.48/0.71 ((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y)))))),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.48/0.71 tff(38,plain,
% 0.48/0.71 (iext(uri_owl_oneOf, uri_ex_c2, X0!140)),
% 0.48/0.71 inference(and_elim,[status(thm)],[7])).
% 0.48/0.71 tff(39,plain,
% 0.48/0.71 ((~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))))) | (~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y)))))),
% 0.48/0.71 inference(tautology,[status(thm)],[])).
% 0.48/0.71 tff(40,plain,
% 0.48/0.71 ((~((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))))) | (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y)))))),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.48/0.71 tff(41,plain,
% 0.48/0.71 (~((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))))),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.48/0.71 tff(42,plain,
% 0.48/0.71 (((~ic(uri_ex_c2)) | (~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y)))) | ![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))),
% 0.48/0.71 inference(tautology,[status(thm)],[])).
% 0.48/0.71 tff(43,plain,
% 0.48/0.71 (![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.48/0.71 tff(44,plain,
% 0.48/0.71 ((~![X: $i] : (icext(uri_ex_c2, X) <=> (X = uri_ex_y))) | (icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_y))),
% 0.48/0.71 inference(quant_inst,[status(thm)],[])).
% 0.48/0.71 tff(45,plain,
% 0.48/0.71 (icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_y)),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.48/0.71 tff(46,plain,
% 0.48/0.71 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))) <=> (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(47,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[46])).
% 0.48/0.71 tff(48,plain,
% 0.48/0.71 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))) <=> (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(49,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[48])).
% 0.48/0.71 tff(50,plain,
% 0.48/0.71 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))) <=> (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(51,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[50])).
% 0.48/0.71 tff(52,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))),
% 0.48/0.71 inference(transitivity,[status(thm)],[51, 49])).
% 0.48/0.71 tff(53,plain,
% 0.48/0.71 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> ((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))), trans(monotonicity(rewrite((icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1))) <=> (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))), ((iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1)))) <=> (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))), rewrite((iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))) <=> (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))), ((iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1)))) <=> (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))), ((((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1))))) <=> (((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))))), rewrite((((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) <=> (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))), ((((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1))))) <=> (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(54,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[53])).
% 0.48/0.71 tff(55,plain,
% 0.48/0.71 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1)))))) <=> (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(56,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1)))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1)))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[55])).
% 0.48/0.71 tff(57,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(58,plain,
% 0.48/0.71 (^[C1: $i, C2: $i] : rewrite((iext(uri_owl_disjointWith, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(59,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[58])).
% 0.48/0.71 tff(60,axiom,(![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_eqdis_disjointwith')).
% 0.48/0.71 tff(61,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.48/0.71 tff(62,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.48/0.71 tff(63,plain,(
% 0.48/0.71 ![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1))))))),
% 0.48/0.71 inference(skolemize,[status(sab)],[62])).
% 0.48/0.71 tff(64,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (icext(C1, tptp_fun_X_66(C2, C1)) & icext(C2, tptp_fun_X_66(C2, C1)))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.48/0.71 tff(65,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.48/0.71 tff(66,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1)))))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[65, 52])).
% 0.48/0.71 tff(67,plain,
% 0.48/0.71 (![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[66, 47])).
% 0.48/0.71 tff(68,plain,
% 0.48/0.71 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)))))))))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(69,plain,
% 0.48/0.71 ((~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))))))))) <=> (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2))))))))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(70,plain,
% 0.48/0.71 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X))))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)))))))))),
% 0.48/0.71 inference(monotonicity,[status(thm)],[69])).
% 0.48/0.71 tff(71,plain,
% 0.48/0.71 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X))))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)))))))))),
% 0.57/0.72 inference(transitivity,[status(thm)],[70, 68])).
% 0.57/0.72 tff(72,plain,
% 0.57/0.72 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~ic(uri_ex_c2)) | (~ic(uri_ex_c1)) | (~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X))))))))))),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(73,plain,
% 0.57/0.72 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_66(C2, C1))) | (~icext(C2, tptp_fun_X_66(C2, C1))))))) | (~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C2, X)) | (~icext(C1, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2))))))))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.57/0.72 tff(74,plain,
% 0.57/0.72 (~((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)))))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[73, 67])).
% 0.57/0.72 tff(75,plain,
% 0.57/0.72 (((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) | (~((~![X: $i] : ((~icext(uri_ex_c2, X)) | (~icext(uri_ex_c1, X)))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2))))))) | (iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(76,plain,
% 0.57/0.72 (iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.57/0.72 tff(77,plain,
% 0.57/0.72 (^[X: $i, Y: $i] : refl(((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y))))) <=> ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y))))))),
% 0.57/0.72 inference(bind,[status(th)],[])).
% 0.57/0.72 tff(78,plain,
% 0.57/0.72 (![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y))))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))),
% 0.57/0.72 inference(quant_intro,[status(thm)],[77])).
% 0.57/0.72 tff(79,plain,
% 0.57/0.72 (^[X: $i, Y: $i] : rewrite(((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y))) <=> ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y))))))),
% 0.57/0.72 inference(bind,[status(th)],[])).
% 0.57/0.72 tff(80,plain,
% 0.57/0.72 (![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))),
% 0.57/0.72 inference(quant_intro,[status(thm)],[79])).
% 0.57/0.72 tff(81,plain,
% 0.57/0.72 (![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y)))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(82,plain,
% 0.57/0.72 (^[X: $i, Y: $i] : rewrite((iext(uri_owl_oneOf, X, Y) => (ic(X) & icext(uri_rdf_List, Y))) <=> ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y))))),
% 0.57/0.72 inference(bind,[status(th)],[])).
% 0.57/0.72 tff(83,plain,
% 0.57/0.72 (![X: $i, Y: $i] : (iext(uri_owl_oneOf, X, Y) => (ic(X) & icext(uri_rdf_List, Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y)))),
% 0.57/0.72 inference(quant_intro,[status(thm)],[82])).
% 0.57/0.72 tff(84,axiom,(![X: $i, Y: $i] : (iext(uri_owl_oneOf, X, Y) => (ic(X) & icext(uri_rdf_List, Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_prop_oneof_ext')).
% 0.57/0.72 tff(85,plain,
% 0.57/0.72 (![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y)))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.57/0.72 tff(86,plain,
% 0.57/0.72 (![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y)))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.57/0.72 tff(87,plain,(
% 0.57/0.72 ![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (ic(X) & icext(uri_rdf_List, Y)))),
% 0.57/0.72 inference(skolemize,[status(sab)],[86])).
% 0.57/0.72 tff(88,plain,
% 0.57/0.72 (![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.57/0.72 tff(89,plain,
% 0.57/0.72 (![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.57/0.72 tff(90,plain,
% 0.57/0.72 (((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | ((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~icext(uri_rdf_List, X0!140)))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | (~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~icext(uri_rdf_List, X0!140)))))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(91,plain,
% 0.57/0.72 ((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | ((~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~icext(uri_rdf_List, X0!140)))))),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(92,plain,
% 0.57/0.72 ((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | (~iext(uri_owl_oneOf, uri_ex_c2, X0!140)) | (~((~ic(uri_ex_c2)) | (~icext(uri_rdf_List, X0!140))))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.57/0.72 tff(93,plain,
% 0.57/0.72 (~((~ic(uri_ex_c2)) | (~icext(uri_rdf_List, X0!140)))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[92, 89, 38])).
% 0.57/0.72 tff(94,plain,
% 0.57/0.72 (((~ic(uri_ex_c2)) | (~icext(uri_rdf_List, X0!140))) | ic(uri_ex_c2)),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(95,plain,
% 0.57/0.72 (ic(uri_ex_c2)),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.57/0.72 tff(96,plain,
% 0.57/0.72 (iext(uri_owl_oneOf, uri_ex_c1, X1!141)),
% 0.57/0.72 inference(and_elim,[status(thm)],[7])).
% 0.57/0.72 tff(97,plain,
% 0.57/0.72 (((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | ((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~icext(uri_rdf_List, X1!141)))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | (~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~icext(uri_rdf_List, X1!141)))))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(98,plain,
% 0.57/0.72 ((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | ((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~icext(uri_rdf_List, X1!141)))))),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(99,plain,
% 0.57/0.72 ((~![X: $i, Y: $i] : ((~iext(uri_owl_oneOf, X, Y)) | (~((~ic(X)) | (~icext(uri_rdf_List, Y)))))) | (~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~icext(uri_rdf_List, X1!141))))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.57/0.72 tff(100,plain,
% 0.57/0.72 (~((~ic(uri_ex_c1)) | (~icext(uri_rdf_List, X1!141)))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[99, 89, 96])).
% 0.57/0.72 tff(101,plain,
% 0.57/0.72 (((~ic(uri_ex_c1)) | (~icext(uri_rdf_List, X1!141))) | ic(uri_ex_c1)),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(102,plain,
% 0.57/0.72 (ic(uri_ex_c1)),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.57/0.72 tff(103,plain,
% 0.57/0.72 ((~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)) <=> (~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(104,axiom,(~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conclusion_rdfbased_sem_eqdis_disclass_ext')).
% 0.57/0.72 tff(105,plain,
% 0.57/0.72 (~iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2)),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.57/0.72 tff(106,plain,
% 0.57/0.72 ((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)))))),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(107,plain,
% 0.57/0.72 ((~(iext(uri_owl_disjointWith, uri_ex_c1, uri_ex_c2) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))))) | (~ic(uri_ex_c1)) | (~ic(uri_ex_c2)) | (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[106, 105])).
% 0.57/0.72 tff(108,plain,
% 0.57/0.72 (~((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[107, 102, 95, 76])).
% 0.57/0.72 tff(109,plain,
% 0.57/0.72 (((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)))) | icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(110,plain,
% 0.57/0.72 (icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[109, 108])).
% 0.57/0.72 tff(111,plain,
% 0.57/0.72 ((~(icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_y))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_y)),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(112,plain,
% 0.57/0.72 ((~(icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_y))) | (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_y)),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[111, 110])).
% 0.57/0.72 tff(113,plain,
% 0.57/0.72 (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_y),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[112, 45])).
% 0.57/0.72 tff(114,plain,
% 0.57/0.72 (iext(uri_rdf_rest, X1!141, uri_rdf_nil)),
% 0.57/0.72 inference(and_elim,[status(thm)],[7])).
% 0.57/0.72 tff(115,plain,
% 0.57/0.72 (iext(uri_rdf_first, X1!141, uri_ex_x)),
% 0.57/0.72 inference(and_elim,[status(thm)],[7])).
% 0.57/0.72 tff(116,plain,
% 0.57/0.72 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X1!141, uri_ex_x)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c1, X1!141) | (~ic(uri_ex_c1)) | (~(icext(uri_ex_c1, tptp_fun_X_8(uri_ex_x, uri_ex_c1)) <=> (tptp_fun_X_8(uri_ex_x, uri_ex_c1) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X1!141, uri_ex_x)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c1, X1!141) | (~ic(uri_ex_c1)) | (~(icext(uri_ex_c1, tptp_fun_X_8(uri_ex_x, uri_ex_c1)) <=> (tptp_fun_X_8(uri_ex_x, uri_ex_c1) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))))))))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(117,plain,
% 0.57/0.72 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X1!141, uri_ex_x)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c1, X1!141) | (~ic(uri_ex_c1)) | (~(icext(uri_ex_c1, tptp_fun_X_8(uri_ex_x, uri_ex_c1)) <=> (tptp_fun_X_8(uri_ex_x, uri_ex_c1) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))))))))),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(118,plain,
% 0.57/0.72 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X1!141, uri_ex_x)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_c1, X1!141) | (~ic(uri_ex_c1)) | (~(icext(uri_ex_c1, tptp_fun_X_8(uri_ex_x, uri_ex_c1)) <=> (tptp_fun_X_8(uri_ex_x, uri_ex_c1) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x)))))))))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.57/0.72 tff(119,plain,
% 0.57/0.72 (~((~(iext(uri_owl_oneOf, uri_ex_c1, X1!141) | (~ic(uri_ex_c1)) | (~(icext(uri_ex_c1, tptp_fun_X_8(uri_ex_x, uri_ex_c1)) <=> (tptp_fun_X_8(uri_ex_x, uri_ex_c1) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[118, 31, 115, 114])).
% 0.57/0.72 tff(120,plain,
% 0.57/0.72 (((~(iext(uri_owl_oneOf, uri_ex_c1, X1!141) | (~ic(uri_ex_c1)) | (~(icext(uri_ex_c1, tptp_fun_X_8(uri_ex_x, uri_ex_c1)) <=> (tptp_fun_X_8(uri_ex_x, uri_ex_c1) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x)))))))) | ((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))))),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(121,plain,
% 0.57/0.72 ((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x)))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.57/0.72 tff(122,plain,
% 0.57/0.72 ((~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))))) | (~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x)))))),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(123,plain,
% 0.57/0.72 ((~((~iext(uri_owl_oneOf, uri_ex_c1, X1!141)) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))))) | (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x)))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[122, 96])).
% 0.57/0.72 tff(124,plain,
% 0.57/0.72 (~((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[123, 121])).
% 0.57/0.72 tff(125,plain,
% 0.57/0.72 (((~ic(uri_ex_c1)) | (~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x)))) | ![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(126,plain,
% 0.57/0.72 (![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[125, 124])).
% 0.57/0.72 tff(127,plain,
% 0.57/0.72 ((~![X: $i] : (icext(uri_ex_c1, X) <=> (X = uri_ex_x))) | (icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_x))),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(128,plain,
% 0.57/0.72 (icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_x)),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.57/0.72 tff(129,plain,
% 0.57/0.72 (((~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (~icext(uri_ex_c2, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)))) | icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(130,plain,
% 0.57/0.72 (icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[129, 108])).
% 0.57/0.72 tff(131,plain,
% 0.57/0.72 ((~(icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_x))) | (~icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1))) | (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_x)),
% 0.57/0.72 inference(tautology,[status(thm)],[])).
% 0.57/0.72 tff(132,plain,
% 0.57/0.72 ((~(icext(uri_ex_c1, tptp_fun_X_66(uri_ex_c2, uri_ex_c1)) <=> (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_x))) | (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_x)),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[131, 130])).
% 0.57/0.72 tff(133,plain,
% 0.57/0.72 (tptp_fun_X_66(uri_ex_c2, uri_ex_c1) = uri_ex_x),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[132, 128])).
% 0.57/0.72 tff(134,plain,
% 0.57/0.72 (uri_ex_x = tptp_fun_X_66(uri_ex_c2, uri_ex_c1)),
% 0.57/0.72 inference(symmetry,[status(thm)],[133])).
% 0.57/0.72 tff(135,plain,
% 0.57/0.72 (uri_ex_x = uri_ex_y),
% 0.57/0.72 inference(transitivity,[status(thm)],[134, 113])).
% 0.57/0.72 tff(136,plain,
% 0.57/0.72 (^[X: $i, Y: $i] : refl((~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))))),
% 0.57/0.72 inference(bind,[status(th)],[])).
% 0.57/0.72 tff(137,plain,
% 0.57/0.72 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.57/0.72 inference(quant_intro,[status(thm)],[136])).
% 0.57/0.72 tff(138,plain,
% 0.57/0.72 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(139,plain,
% 0.57/0.72 (^[X: $i, Y: $i] : trans(rewrite((iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))), rewrite((~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))), ((iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))))),
% 0.57/0.72 inference(bind,[status(th)],[])).
% 0.57/0.72 tff(140,plain,
% 0.57/0.72 (![X: $i, Y: $i] : (iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.57/0.72 inference(quant_intro,[status(thm)],[139])).
% 0.57/0.72 tff(141,axiom,(![X: $i, Y: $i] : (iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_eqdis_differentfrom')).
% 0.57/0.74 tff(142,plain,
% 0.57/0.74 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.57/0.74 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.57/0.74 tff(143,plain,
% 0.57/0.74 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.57/0.74 inference(modus_ponens,[status(thm)],[142, 138])).
% 0.57/0.74 tff(144,plain,(
% 0.57/0.74 ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.57/0.74 inference(skolemize,[status(sab)],[143])).
% 0.57/0.74 tff(145,plain,
% 0.57/0.74 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.57/0.74 inference(modus_ponens,[status(thm)],[144, 137])).
% 0.57/0.74 tff(146,plain,
% 0.57/0.74 ((~![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))) | (~((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)))),
% 0.57/0.74 inference(quant_inst,[status(thm)],[])).
% 0.57/0.74 tff(147,plain,
% 0.57/0.74 (~((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.57/0.74 tff(148,plain,
% 0.57/0.74 (iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)),
% 0.57/0.74 inference(and_elim,[status(thm)],[7])).
% 0.57/0.74 tff(149,plain,
% 0.57/0.74 (((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) | (~(uri_ex_x = uri_ex_y)) | (~iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y))),
% 0.57/0.74 inference(tautology,[status(thm)],[])).
% 0.57/0.74 tff(150,plain,
% 0.57/0.74 (((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) | (~(uri_ex_x = uri_ex_y))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.57/0.74 tff(151,plain,
% 0.57/0.74 (~(uri_ex_x = uri_ex_y)),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[150, 147])).
% 0.57/0.74 tff(152,plain,
% 0.57/0.74 ($false),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[151, 135])).
% 0.57/0.74 % SZS output end Proof
% 0.57/0.75 % E exiting
%------------------------------------------------------------------------------